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Finding the Fourth Proportional to 9,890, 14,835 and 2,964.50

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Solution

The fourth proportional to 9,890, 14,835 and 2,964.50 is: 4,446.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,890 : 14,835 = 2,964.50 : x
  2. Step 2: Convert to fraction form
    9,890/14,835 = 2,964.50/x
  3. Step 3: Cross multiply
    9,890x = 14,835 × 2,964.50
  4. Step 4: Simplify right side
    9,890x = 43,978,357.50
  5. Step 5: Solve for x
    x = 43,978,357.50/9,890
  6. Step 6: Final answer
    x = 4,446.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.